Geodesic
Peculiar features of relativistic particle evolution in classical scalar field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 3, pp. 464-473 
A. A. Vlasov. Peculiar features of relativistic particle evolution in classical scalar field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 3, pp. 464-473. http://geodesic.mathdoc.fr/item/TMF_1996_109_3_a11/
@article{TMF_1996_109_3_a11,
     author = {A. A. Vlasov},
     title = {Peculiar features of relativistic particle evolution in classical scalar field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {464--473},
     year = {1996},
     volume = {109},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_109_3_a11/}
}
TY  - JOUR
AU  - A. A. Vlasov
TI  - Peculiar features of relativistic particle evolution in classical scalar field theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1996
SP  - 464
EP  - 473
VL  - 109
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1996_109_3_a11/
LA  - ru
ID  - TMF_1996_109_3_a11
ER  - 
%0 Journal Article
%A A. A. Vlasov
%T Peculiar features of relativistic particle evolution in classical scalar field theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1996
%P 464-473
%V 109
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1996_109_3_a11/
%G ru
%F TMF_1996_109_3_a11

Voir la notice de l'article provenant de la source Math-Net.Ru

The interaction between point particles in the model of classical scalar field with linear coupling with the source possesses the following interesting features: particles attract at a large distance and repulse at a small distance; the velocities of the particles in evolution reach the speed of light; in the frontal collision of two identical particles can arise the effect of “release”: due to the squeesing of the walls of the effective potential hole of particle interaction the kinetic energy of particles grows so that at last particles jump out from the potential hole.

[1] A. A. Vlasov, Vestn. MGU, ser. 3, 35:2 (1994), 3 ; A. A. Vlasov, Canadian J. Phys., 73:3/4 (1995), 187 | Zbl | DOI | MR

[2] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1976 | MR

[3] D. D. Ivanenko, A. A. Sokolov, Klassicheskaya teoriya polya, GITTL, M., 1949

[4] D. N. Vollick, Phys. Rev., D52:6 (1995), 3576 | MR

[5] J. C. Kasher, S. L. Schwebel, Phys. Rev., D4:10 (1971), 2956 ; C. M. Andersen, H. C. von Bayer, Phys. Rev., D5:10 (1972), 2470 ; J. Huschilt et al., Phys. Rev., D7:10 (1973), 2844 ; J. C. Kasher, Phys. Rev., D12:6 (1975), 1729 ; J. Huschilt, W. E. Bayles, Phys. Rev., D13:12 (1976), 3256 ; 3262 ; J. C. Kasher, Phys. Rev., D14:4 (1976), 939 ; J. Phys. A, 10:7 (1977), 1097 | MR | DOI